Since he defeated former President Donald J. Trump in 2020, Mr. Biden has had difficulty conjuring a useful political villain, in part because Democrats controlled the White House and both houses of Congress. For much of his first year, Mr. Biden seemed to be fighting more with his own party — specifically, Senators Kyrsten Sinema of Arizona and Joe Manchin III of West Virginia — than with Republicans.

During the 2022 midterm elections, many Democratic congressional candidates won by connecting their opponents to Mr. Trump and the “Big Lie” that the 2020 election had been stolen. A senior White House adviser, who asked for anonymity to discuss political strategy, said that since those elections ended, Mr. Biden has been hampered by having no well-defined opponent (and only Mr. Trump as a declared candidate for 2024).

Anita Dunn, a senior adviser to Mr. Biden and one of his top communications advisers, said the scrimmage between the president and House Republicans on Tuesday night should provide Americans with a more visceral understanding of what the president has been talking about.

“Clearly, having the House Republican caucus behaving the way they are, and are signaling strongly they will continue to behave, is going to give the president an easy contrast,” she said. “What the House Republican caucus is doing for him is giving him a way to draw a contrast between what he is for — what he’s trying to get done, and who he’s trying to get it done for — with the House Republicans.”


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Republicans accuse Mr. Biden of lying about their intentions. Many, including House Speaker Kevin McCarthy, say they are not willing to consider any proposals to cut funding for Medicare and Social Security to pay for desired reductions in the nation’s debt and deficit. When Mr. Biden suggested the opposite Tuesday night, Republicans erupted in boos.

At times, Mr. McCarthy seemed to be trying to shush his members, a sign that he did not see their outbursts as helpful to their cause.

But Republicans so far have not said how they propose to reduce spending by a large enough amount to achieve their debt reduction goals. And there have been several notable Republicans who have proposed ideas like making all laws expire after five years unless lawmakers renew them — an idea that Mr. Biden says means Social Security and Medicare would go away automatically if such a vote failed.